The inequality shown in the image is:
x < 5
This inequality represents all numbers less than 5.
The options provided are intervals:
(-∞; 5]: This includes all numbers less than or equal to 5.[5; ∞): This includes all numbers greater than or equal to 5.(-∞; 5): This includes all numbers less than 5.(5; ∞): This includes all numbers greater than 5.The inequality x < 5 corresponds to the interval (-∞; 5), as it includes all numbers strictly less than 5, excluding 5 itself.
Answer: (-∞; 5)